Maximize Spanning Tree Stability with Upgrades | Detailed | Broken Down | Leetcode 3600 | MIK

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This is the 87th Video of our Playlist "Graphs : Popular Interview Problems" by codestorywithMIK

Today we will be solving a very good problem based on Graph + DSU + Binary Search - Maximize Spanning Tree Stability with Upgrades | Detailed | Broken Down to Simple Steps | Leetcode 3600 | codestorywithMIK

I will explain the intuition so easily that you will never forget and start seeing this as cakewalk EASYYY.
We will do live coding after explanation and see if we are able to pass all the test cases.
Also, please note that my Github solution link below contains both C++ as well as JAVA code.

Problem Name : Maximize Spanning Tree Stability with Upgrades | Detailed | Broken Down to Simple Steps | Leetcode 3600 | codestorywithMIK
Company Tags : Will update later
My solutions on Github(C++ & JAVA) : https://github.com/MAZHARMIK/Intervie...
Leetcode Link : https://leetcode.com/problems/maximiz...


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Video Summary :
The idea is to binary search the maximum stability value that the final spanning tree can support. For each candidate stability mid, we check if it's possible to build a connected graph where every chosen edge satisfies that stability requirement.

During the check, we first include all mandatory edges, ensuring they already meet the stability condition. Then we greedily add normal edges that already satisfy the requirement, and if needed, use up to k upgrades for edges that can reach the target stability after upgrading.

A DSU (Union-Find) structure keeps track of connectivity while building the spanning tree. If all nodes end up in one component, that stability value is feasible.


✨ Timelines✨
00:00 Introduction
00:10 Motivation
00:25 Problem Explanation
04:48 Example Explanation
08:20 Thought Process - Why Binary Search ?
13:26 Check function logic
21:55 Why DSU ?
31:03 Coding it up

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